Consider a diatomic gas at temperatures T1 and T2 such that r = kyT;le = 0.30 and 12 = 0.32 for the gas's rotational energystorage mode.(a) Evaluate the partition function directly as a sum for each temperature, keeping what you think is a sufficient number of termsneeded to ensure six significant figures of accuracy.Z for T:[Zfor T2:(b) For T1 and T2, compute Eg = E Pr(E)E (in terms of e) directly as a sum with the same number of terms.Eavg for T:Eavg for T2:(c) Note that dEwldr [Eave (12) - Eav (T))/[r - ] as long as r - is sufficiently small. Use this approximation to estimatethe value of rdEat r0.31.Estimate for dEnCompare your result with the figure shown below. Are you close? (You should bel)he de(dEavg/dT)/kg for rotation1.21.00.80.60.40.20.0

Let us consider a diatomic gas at temperature T1 and T2 such that, τ1=k8T1∈=0.30 and,τ2=0.32 for…

Consider & 1e seb storage mode. (a) Evaluate the partition function directly as a sum for each temperature, keeping what you think is a sufficient number of term needed to ensure six significant figures of accuracy. Z for T Z for T2:D (b) For T1 and T2, compute Eng =EPr(E,)E, (n terms of e) directly as a sum with the same number of terms. Eavg for Ty Eavg for T2: (c) Note that dEldr [Er(2)-Ev (7)/[-n) as long as r-n is sufficiently small. Use this approximation to es the value of at r -0.31. Estimate for O Compare your result with the figure shown below. Are you close? (You should bel)

Consider & 1e seb storage mode. (a) Evaluate the partition function directly as a sum for each temperature, keeping what you think is a sufficient number of term needed to ensure six significant figures of accuracy. Z for T Z for T2:D (b) For T1 and T2, compute Eng =EPr(E,)E, (n terms of e) directly as a sum with the same number of terms. Eavg for Ty Eavg for T2: (c) Note that dEldr [Er(2)-Ev (7)/[-n) as long as r-n is sufficiently small. Use this approximation to es the value of at r -0.31. Estimate for O Compare your result with the figure shown below. Are you close? (You should bel)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Consider a diatomic gas at temperatures T1 and T2 such that r = kyT;le = 0.30 and 12 = 0.32 for the gas's rotational energy
storage mode.
(a) Evaluate the partition function directly as a sum for each temperature, keeping what you think is a sufficient number of terms
needed to ensure six significant figures of accuracy.
Z for T:[
Zfor T2:
(b) For T1 and T2, compute Eg = E Pr(E)E (in terms of e) directly as a sum with the same number of terms.
Eavg for T:
Eavg for T2:
(c) Note that dEwldr [Eave (12) - Eav (T))/[r - ] as long as r - is sufficiently small. Use this approximation to estimate
the value of r
dE
at r0.31.
Estimate for dEn
Compare your result with the figure shown below. Are you close? (You should bel)
he de
(dEavg/dT)/kg for rotation
1.2
1.0
0.8
0.6
0.4
0.2
0.0

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